### A. Dow, I. Juhász, L. Soukup, Z. Szentmiklóssy:

## More on sequentially compact implying pseudoradial

We improve some results of [JSz] and answer the main problem raised
there. Thus we show that if a compact `T_2 `space `X `is
not pseudoradial then there is a `Y \subset X `with `|Y| <
s `so that the closure of `Y` is not pseudoradial. Also, we
show that if any number of Cohen reals are added to a model of CH then
CSC spaces are pseudoradial in the extension. As a byproduct, we also show
that any `\omega_1`-compact and sequentially compact separable `T_3`
space is compact in such an extension.

[JSz] **I. Juhász, Z. Szentmiklóssy*** **Sequential
compactness versus pseudoradiality in compact spaces,*Topology and its
Applications **50 **(1993) 47-53.

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